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Finding the Fourth Proportional to 342.69, 515.90 and 266.10

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Solution

The fourth proportional to 342.69, 515.90 and 266.10 is: 400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.69 : 515.90 = 266.10 : x
  2. Step 2: Convert to fraction form
    342.69/515.90 = 266.10/x
  3. Step 3: Cross multiply
    342.69x = 515.90 × 266.10
  4. Step 4: Simplify right side
    342.69x = 137,279.66
  5. Step 5: Solve for x
    x = 137,279.66/342.69
  6. Step 6: Final answer
    x = 400.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.